42292768 has 48 divisors (see below), whose sum is σ = 99308160. Its totient is φ = 17335296.

The previous prime is 42292717. The next prime is 42292777. The reversal of 42292768 is 86729224.

It is a self number, because there is not a number n which added to its sum of digits gives 42292768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048 + ... + 9256.

It is an arithmetic number, because the mean of its divisors is an integer number (2068920).

Almost surely, 2^42292768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42292768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49654080).

42292768 is an abundant number, since it is smaller than the sum of its proper divisors (57015392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42292768 is a wasteful number, since it uses less digits than its factorization.

42292768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8241 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 42292768 is about 6503.2890140297. The cubic root of 42292768 is about 348.4084691492.

The spelling of 42292768 in words is "forty-two million, two hundred ninety-two thousand, seven hundred sixty-eight".